Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#11761617 | C2 | semidirect |
| 2. C2×#14524049 | C2 | semidirect |
| 3. #16863972 | C2 | semidirect |
| 5. #16863643 | C2 | semidirect |
| 6. #16863626 | C2 | semidirect |
| 7. #16863404 | C2 | semidirect |
| 8. #16863400 | C2 | semidirect |
| 9. #427×C67 | C2 | semidirect |
| 18. C2×#11761611 | C22 | semidirect |
| 19. C2×C8×D67 | C22 | semidirect |
| 25. #14524023 | C22 | semidirect |
| 28. #14523966 | C22 | semidirect |
| 33. #107×C67 | C22 | semidirect |
| 34. #106×C67 | C22 | semidirect |
| 62. C2×C8×C67 | D4 | semidirect |
| 121. C67 | #3057 | semidirect |
| 128. #427 | D67 | semidirect |
| 152. #107 | C2×D67 | semidirect |
| 153. #106 | C2×D67 | semidirect |
| 180. C2×C8 | D268 | semidirect |